Saleh's GPC party accused the Houthis of failing to honor a truce and said in a statement on its website that the Houthis bear responsibility for dragging the country into a civil war.
The whereabouts of Saleh's son, and political heir, Tareq, who was leading the fight against the Houthis in the capital at the head of the Presidential Guard regiment remain unclear.
Faris Al-Beel, a Yemeni political analyst, also said that, after Saleh's death, Iran has now become the main player in Yemen. But, since they entered it, they seized arms stores, won loyalties and laid down their plans for the day in which they would fight Saleh and probably assassinate him and take over the capital.He dramatically changed the map of the war in Yemen the night he announced on TV that he accepted reconciliation, and assassinating him will not change this. It will support besieging Houthis in their areas in Northern Yemen in case the commanders of Saleh's army made a decision to fight alongside the Yemeni army.In the past few days, Saleh attempted to liberate Sanaa, which has been occupied by the coup perpetrators since 2014, when Houthi forces took over the headquarters of the First Brigade, leading to the defeat of all other military and security bodies without any resistance.Questions are today raised about how strong Houthis are in Sanaa.
"I call upon the brothers in neighboring states and the alliance to stop their aggression, lift the siege, open the airports and allow food aid and the saving of the wounded and we will turn a new page by virtue of our neighborliness", Saleh said in a televised speech.
Albukhaiti said that fighters had secured key areas south of the capital, including the "very strategic" al-Mesbahi residential area, which is approximately 200 metres from Saleh's home.
Residents reported that the situation in Sanaa had calmed.
The government, which has operated out of southern city Aden since being ousted from the capital, ordered an offensive to advance on Sanaa.
The official spoke on condition of anonymity because he wasn't authorized to speak to the press.
The government also reached out to Saleh's supporters with an offer of amnesty.
Saudi Arabia has lost a card which could help it eradicate the Iranian threat in Yemen.
The tactical alliance between Saleh and the Houthis had often appeared fragile, with both groups suspicious of each other's ultimate motives and sharing little ideological ground.
The fresh violence has increased fears for civilian victims of Yemen's war, which has claimed more than 8,750 lives since the Saudi-led coalition intervened.
Mack told VOA, before news of Mr. Saleh's death, the former president "wanted to have one chance to restore his reputation, which has been terribly, terribly damaged during the past decade".
"Ambulances and medical teams can't access injured, people can't buy food and other supplies", UNICEF's Rajat Madhok tweeted.